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Finding the Fourth Proportional to 366.21, 505.31 and 218.79

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Solution

The fourth proportional to 366.21, 505.31 and 218.79 is: 301.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.21 : 505.31 = 218.79 : x
  2. Step 2: Convert to fraction form
    366.21/505.31 = 218.79/x
  3. Step 3: Cross multiply
    366.21x = 505.31 × 218.79
  4. Step 4: Simplify right side
    366.21x = 110,555.68
  5. Step 5: Solve for x
    x = 110,555.68/366.21
  6. Step 6: Final answer
    x = 301.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.